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Finding the Third Proportional to 256,398 and 398,040

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Solution

The third proportional to 256,398 and 398,040 is: 617,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,398 : 398,040 = 398,040 : x
  2. Step 2: Convert to fraction form
    256,398/398,040 = 398,040/x
  3. Step 3: Cross multiply
    256,398x = 398,040 × 398,040
  4. Step 4: Simplify right side
    256,398x = 158,435,841,600
  5. Step 5: Solve for x
    x = 158,435,841,600/256,398
  6. Step 6: Final answer
    x = 617,929.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.